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Simplifying 4(x + -1) + 6 = 3(x + 4) + -2(x + 7) Reorder the terms: 4(-1 + x) + 6 = 3(x + 4) + -2(x + 7) (-1 * 4 + x * 4) + 6 = 3(x + 4) + -2(x + 7) (-4 + 4x) + 6 = 3(x + 4) + -2(x + 7) Reorder the terms: -4 + 6 + 4x = 3(x + 4) + -2(x + 7) Combine like terms: -4 + 6 = 2 2 + 4x = 3(x + 4) + -2(x + 7) Reorder the terms: 2 + 4x = 3(4 + x) + -2(x + 7) 2 + 4x = (4 * 3 + x * 3) + -2(x + 7) 2 + 4x = (12 + 3x) + -2(x + 7) Reorder the terms: 2 + 4x = 12 + 3x + -2(7 + x) 2 + 4x = 12 + 3x + (7 * -2 + x * -2) 2 + 4x = 12 + 3x + (-14 + -2x) Reorder the terms: 2 + 4x = 12 + -14 + 3x + -2x Combine like terms: 12 + -14 = -2 2 + 4x = -2 + 3x + -2x Combine like terms: 3x + -2x = 1x 2 + 4x = -2 + 1x Solving 2 + 4x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 4x + -1x = -2 + 1x + -1x Combine like terms: 4x + -1x = 3x 2 + 3x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 3x = -2 + 0 2 + 3x = -2 Add '-2' to each side of the equation. 2 + -2 + 3x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -2 + -2 3x = -2 + -2 Combine like terms: -2 + -2 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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