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Simplifying 3(x + -4) + 3x = 7 + -2(x + -1) Reorder the terms: 3(-4 + x) + 3x = 7 + -2(x + -1) (-4 * 3 + x * 3) + 3x = 7 + -2(x + -1) (-12 + 3x) + 3x = 7 + -2(x + -1) Combine like terms: 3x + 3x = 6x -12 + 6x = 7 + -2(x + -1) Reorder the terms: -12 + 6x = 7 + -2(-1 + x) -12 + 6x = 7 + (-1 * -2 + x * -2) -12 + 6x = 7 + (2 + -2x) Combine like terms: 7 + 2 = 9 -12 + 6x = 9 + -2x Solving -12 + 6x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 6x + 2x = 9 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 9 + 0 -12 + 8x = 9 Add '12' to each side of the equation. -12 + 12 + 8x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 9 + 12 8x = 9 + 12 Combine like terms: 9 + 12 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625
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