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Simplifying -4(2x + -3) + 6x = 3(-2x + -7) + 4 Reorder the terms: -4(-3 + 2x) + 6x = 3(-2x + -7) + 4 (-3 * -4 + 2x * -4) + 6x = 3(-2x + -7) + 4 (12 + -8x) + 6x = 3(-2x + -7) + 4 Combine like terms: -8x + 6x = -2x 12 + -2x = 3(-2x + -7) + 4 Reorder the terms: 12 + -2x = 3(-7 + -2x) + 4 12 + -2x = (-7 * 3 + -2x * 3) + 4 12 + -2x = (-21 + -6x) + 4 Reorder the terms: 12 + -2x = -21 + 4 + -6x Combine like terms: -21 + 4 = -17 12 + -2x = -17 + -6x Solving 12 + -2x = -17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -2x + 6x = -17 + -6x + 6x Combine like terms: -2x + 6x = 4x 12 + 4x = -17 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 4x = -17 + 0 12 + 4x = -17 Add '-12' to each side of the equation. 12 + -12 + 4x = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -17 + -12 4x = -17 + -12 Combine like terms: -17 + -12 = -29 4x = -29 Divide each side by '4'. x = -7.25 Simplifying x = -7.25
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