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Simplifying -6x + 7 = 3(2x + -3) + -4(-10 + 4) Reorder the terms: 7 + -6x = 3(2x + -3) + -4(-10 + 4) Reorder the terms: 7 + -6x = 3(-3 + 2x) + -4(-10 + 4) 7 + -6x = (-3 * 3 + 2x * 3) + -4(-10 + 4) 7 + -6x = (-9 + 6x) + -4(-10 + 4) Combine like terms: -10 + 4 = -6 7 + -6x = -9 + 6x + -4(-6) Multiply -4 * -6 7 + -6x = -9 + 6x + 24 Reorder the terms: 7 + -6x = -9 + 24 + 6x Combine like terms: -9 + 24 = 15 7 + -6x = 15 + 6x Solving 7 + -6x = 15 + 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. 7 + -6x + -6x = 15 + 6x + -6x Combine like terms: -6x + -6x = -12x 7 + -12x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -12x = 15 + 0 7 + -12x = 15 Add '-7' to each side of the equation. 7 + -7 + -12x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 15 + -7 -12x = 15 + -7 Combine like terms: 15 + -7 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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