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Simplifying 4(x + 5) + -2 = 3(2x + -4) + -4 Reorder the terms: 4(5 + x) + -2 = 3(2x + -4) + -4 (5 * 4 + x * 4) + -2 = 3(2x + -4) + -4 (20 + 4x) + -2 = 3(2x + -4) + -4 Reorder the terms: 20 + -2 + 4x = 3(2x + -4) + -4 Combine like terms: 20 + -2 = 18 18 + 4x = 3(2x + -4) + -4 Reorder the terms: 18 + 4x = 3(-4 + 2x) + -4 18 + 4x = (-4 * 3 + 2x * 3) + -4 18 + 4x = (-12 + 6x) + -4 Reorder the terms: 18 + 4x = -12 + -4 + 6x Combine like terms: -12 + -4 = -16 18 + 4x = -16 + 6x Solving 18 + 4x = -16 + 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. 18 + 4x + -6x = -16 + 6x + -6x Combine like terms: 4x + -6x = -2x 18 + -2x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -2x = -16 + 0 18 + -2x = -16 Add '-18' to each side of the equation. 18 + -18 + -2x = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -16 + -18 -2x = -16 + -18 Combine like terms: -16 + -18 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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