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Simplifying 4(x + -2) + 10 = 8(x + -2) Reorder the terms: 4(-2 + x) + 10 = 8(x + -2) (-2 * 4 + x * 4) + 10 = 8(x + -2) (-8 + 4x) + 10 = 8(x + -2) Reorder the terms: -8 + 10 + 4x = 8(x + -2) Combine like terms: -8 + 10 = 2 2 + 4x = 8(x + -2) Reorder the terms: 2 + 4x = 8(-2 + x) 2 + 4x = (-2 * 8 + x * 8) 2 + 4x = (-16 + 8x) Solving 2 + 4x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 4x + -8x = -16 + 8x + -8x Combine like terms: 4x + -8x = -4x 2 + -4x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -4x = -16 + 0 2 + -4x = -16 Add '-2' to each side of the equation. 2 + -2 + -4x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -16 + -2 -4x = -16 + -2 Combine like terms: -16 + -2 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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