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Simplifying 6 + -3(4 + -2x) = 7(x + -3) 6 + (4 * -3 + -2x * -3) = 7(x + -3) 6 + (-12 + 6x) = 7(x + -3) Combine like terms: 6 + -12 = -6 -6 + 6x = 7(x + -3) Reorder the terms: -6 + 6x = 7(-3 + x) -6 + 6x = (-3 * 7 + x * 7) -6 + 6x = (-21 + 7x) Solving -6 + 6x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 6x + -7x = -21 + 7x + -7x Combine like terms: 6x + -7x = -1x -6 + -1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -1x = -21 + 0 -6 + -1x = -21 Add '6' to each side of the equation. -6 + 6 + -1x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -21 + 6 -1x = -21 + 6 Combine like terms: -21 + 6 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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