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Simplifying 6(x + -7) + -5x + (-12) + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 Reorder the terms: 6(-7 + x) + -5x + (-12) + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 (-7 * 6 + x * 6) + -5x + (-12) + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 (-42 + 6x) + -5x + (-12) + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 -42 + 6x + -5x + -12 + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 Reorder the terms: -42 + -12 + 6x + -5x + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 Combine like terms: -42 + -12 = -54 -54 + 6x + -5x + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 Combine like terms: 6x + -5x = 1x -54 + 1x + (-3x) = 9(-1x + (-11)) + -1(-2) * 14 Combine like terms: 1x + (-3x) = -2x -54 + -2x = 9(-1x + (-11)) + -1(-2) * 14 -54 + -2x = 9(-1x + -11) + -1(-2) * 14 Reorder the terms: -54 + -2x = 9(-11 + -1x) + -1(-2) * 14 -54 + -2x = (-11 * 9 + -1x * 9) + -1(-2) * 14 -54 + -2x = (-99 + -9x) + -1(-2) * 14 Multiply -1 * -2 -54 + -2x = -99 + -9x + 2 * 14 Multiply 2 * 14 -54 + -2x = -99 + -9x + 28 Reorder the terms: -54 + -2x = -99 + 28 + -9x Combine like terms: -99 + 28 = -71 -54 + -2x = -71 + -9x Solving -54 + -2x = -71 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -54 + -2x + 9x = -71 + -9x + 9x Combine like terms: -2x + 9x = 7x -54 + 7x = -71 + -9x + 9x Combine like terms: -9x + 9x = 0 -54 + 7x = -71 + 0 -54 + 7x = -71 Add '54' to each side of the equation. -54 + 54 + 7x = -71 + 54 Combine like terms: -54 + 54 = 0 0 + 7x = -71 + 54 7x = -71 + 54 Combine like terms: -71 + 54 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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