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Simplifying 4(2x + -3) + 5 = 9(x + -2) + 8 Reorder the terms: 4(-3 + 2x) + 5 = 9(x + -2) + 8 (-3 * 4 + 2x * 4) + 5 = 9(x + -2) + 8 (-12 + 8x) + 5 = 9(x + -2) + 8 Reorder the terms: -12 + 5 + 8x = 9(x + -2) + 8 Combine like terms: -12 + 5 = -7 -7 + 8x = 9(x + -2) + 8 Reorder the terms: -7 + 8x = 9(-2 + x) + 8 -7 + 8x = (-2 * 9 + x * 9) + 8 -7 + 8x = (-18 + 9x) + 8 Reorder the terms: -7 + 8x = -18 + 8 + 9x Combine like terms: -18 + 8 = -10 -7 + 8x = -10 + 9x Solving -7 + 8x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 8x + -9x = -10 + 9x + -9x Combine like terms: 8x + -9x = -1x -7 + -1x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -1x = -10 + 0 -7 + -1x = -10 Add '7' to each side of the equation. -7 + 7 + -1x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -10 + 7 -1x = -10 + 7 Combine like terms: -10 + 7 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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