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Simplifying 4(2x + -3) + -3(x + -5) = x + 7 Reorder the terms: 4(-3 + 2x) + -3(x + -5) = x + 7 (-3 * 4 + 2x * 4) + -3(x + -5) = x + 7 (-12 + 8x) + -3(x + -5) = x + 7 Reorder the terms: -12 + 8x + -3(-5 + x) = x + 7 -12 + 8x + (-5 * -3 + x * -3) = x + 7 -12 + 8x + (15 + -3x) = x + 7 Reorder the terms: -12 + 15 + 8x + -3x = x + 7 Combine like terms: -12 + 15 = 3 3 + 8x + -3x = x + 7 Combine like terms: 8x + -3x = 5x 3 + 5x = x + 7 Reorder the terms: 3 + 5x = 7 + x Solving 3 + 5x = 7 + x 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. 3 + 5x + -1x = 7 + x + -1x Combine like terms: 5x + -1x = 4x 3 + 4x = 7 + x + -1x Combine like terms: x + -1x = 0 3 + 4x = 7 + 0 3 + 4x = 7 Add '-3' to each side of the equation. 3 + -3 + 4x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 7 + -3 4x = 7 + -3 Combine like terms: 7 + -3 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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