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Simplifying 5 + -3(x + 4) = 2(3x + -7) + x Reorder the terms: 5 + -3(4 + x) = 2(3x + -7) + x 5 + (4 * -3 + x * -3) = 2(3x + -7) + x 5 + (-12 + -3x) = 2(3x + -7) + x Combine like terms: 5 + -12 = -7 -7 + -3x = 2(3x + -7) + x Reorder the terms: -7 + -3x = 2(-7 + 3x) + x -7 + -3x = (-7 * 2 + 3x * 2) + x -7 + -3x = (-14 + 6x) + x Combine like terms: 6x + x = 7x -7 + -3x = -14 + 7x Solving -7 + -3x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + -3x + -7x = -14 + 7x + -7x Combine like terms: -3x + -7x = -10x -7 + -10x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -10x = -14 + 0 -7 + -10x = -14 Add '7' to each side of the equation. -7 + 7 + -10x = -14 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = -14 + 7 -10x = -14 + 7 Combine like terms: -14 + 7 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7
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