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Simplifying 7(x + -2) + -4 = -2(-9x + 6) + -3x Reorder the terms: 7(-2 + x) + -4 = -2(-9x + 6) + -3x (-2 * 7 + x * 7) + -4 = -2(-9x + 6) + -3x (-14 + 7x) + -4 = -2(-9x + 6) + -3x Reorder the terms: -14 + -4 + 7x = -2(-9x + 6) + -3x Combine like terms: -14 + -4 = -18 -18 + 7x = -2(-9x + 6) + -3x Reorder the terms: -18 + 7x = -2(6 + -9x) + -3x -18 + 7x = (6 * -2 + -9x * -2) + -3x -18 + 7x = (-12 + 18x) + -3x Combine like terms: 18x + -3x = 15x -18 + 7x = -12 + 15x Solving -18 + 7x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -18 + 7x + -15x = -12 + 15x + -15x Combine like terms: 7x + -15x = -8x -18 + -8x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -18 + -8x = -12 + 0 -18 + -8x = -12 Add '18' to each side of the equation. -18 + 18 + -8x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -12 + 18 -8x = -12 + 18 Combine like terms: -12 + 18 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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