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Simplifying 4(2x + -7) + -5x = 9 + 2(x + -4) Reorder the terms: 4(-7 + 2x) + -5x = 9 + 2(x + -4) (-7 * 4 + 2x * 4) + -5x = 9 + 2(x + -4) (-28 + 8x) + -5x = 9 + 2(x + -4) Combine like terms: 8x + -5x = 3x -28 + 3x = 9 + 2(x + -4) Reorder the terms: -28 + 3x = 9 + 2(-4 + x) -28 + 3x = 9 + (-4 * 2 + x * 2) -28 + 3x = 9 + (-8 + 2x) Combine like terms: 9 + -8 = 1 -28 + 3x = 1 + 2x Solving -28 + 3x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 3x + -2x = 1 + 2x + -2x Combine like terms: 3x + -2x = 1x -28 + 1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 1x = 1 + 0 -28 + 1x = 1 Add '28' to each side of the equation. -28 + 28 + 1x = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 1 + 28 1x = 1 + 28 Combine like terms: 1 + 28 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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