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Simplifying 3(x + -4) + 5 = -2(3x + -4) + 7 Reorder the terms: 3(-4 + x) + 5 = -2(3x + -4) + 7 (-4 * 3 + x * 3) + 5 = -2(3x + -4) + 7 (-12 + 3x) + 5 = -2(3x + -4) + 7 Reorder the terms: -12 + 5 + 3x = -2(3x + -4) + 7 Combine like terms: -12 + 5 = -7 -7 + 3x = -2(3x + -4) + 7 Reorder the terms: -7 + 3x = -2(-4 + 3x) + 7 -7 + 3x = (-4 * -2 + 3x * -2) + 7 -7 + 3x = (8 + -6x) + 7 Reorder the terms: -7 + 3x = 8 + 7 + -6x Combine like terms: 8 + 7 = 15 -7 + 3x = 15 + -6x Solving -7 + 3x = 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 + 3x + 6x = 15 + -6x + 6x Combine like terms: 3x + 6x = 9x -7 + 9x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 9x = 15 + 0 -7 + 9x = 15 Add '7' to each side of the equation. -7 + 7 + 9x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 15 + 7 9x = 15 + 7 Combine like terms: 15 + 7 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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