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Simplifying 4(2x + -1) + -3 = 9(x + -4) Reorder the terms: 4(-1 + 2x) + -3 = 9(x + -4) (-1 * 4 + 2x * 4) + -3 = 9(x + -4) (-4 + 8x) + -3 = 9(x + -4) Reorder the terms: -4 + -3 + 8x = 9(x + -4) Combine like terms: -4 + -3 = -7 -7 + 8x = 9(x + -4) Reorder the terms: -7 + 8x = 9(-4 + x) -7 + 8x = (-4 * 9 + x * 9) -7 + 8x = (-36 + 9x) Solving -7 + 8x = -36 + 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 = -36 + 9x + -9x Combine like terms: 8x + -9x = -1x -7 + -1x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -1x = -36 + 0 -7 + -1x = -36 Add '7' to each side of the equation. -7 + 7 + -1x = -36 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -36 + 7 -1x = -36 + 7 Combine like terms: -36 + 7 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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