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Simplifying 4(x + -9) + 52 = 2(2x + 17) + 2x Reorder the terms: 4(-9 + x) + 52 = 2(2x + 17) + 2x (-9 * 4 + x * 4) + 52 = 2(2x + 17) + 2x (-36 + 4x) + 52 = 2(2x + 17) + 2x Reorder the terms: -36 + 52 + 4x = 2(2x + 17) + 2x Combine like terms: -36 + 52 = 16 16 + 4x = 2(2x + 17) + 2x Reorder the terms: 16 + 4x = 2(17 + 2x) + 2x 16 + 4x = (17 * 2 + 2x * 2) + 2x 16 + 4x = (34 + 4x) + 2x Combine like terms: 4x + 2x = 6x 16 + 4x = 34 + 6x Solving 16 + 4x = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 4x + -6x = 34 + 6x + -6x Combine like terms: 4x + -6x = -2x 16 + -2x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -2x = 34 + 0 16 + -2x = 34 Add '-16' to each side of the equation. 16 + -16 + -2x = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 34 + -16 -2x = 34 + -16 Combine like terms: 34 + -16 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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