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Simplifying 6(x + -3) + 10 = 2(4x + -5) Reorder the terms: 6(-3 + x) + 10 = 2(4x + -5) (-3 * 6 + x * 6) + 10 = 2(4x + -5) (-18 + 6x) + 10 = 2(4x + -5) Reorder the terms: -18 + 10 + 6x = 2(4x + -5) Combine like terms: -18 + 10 = -8 -8 + 6x = 2(4x + -5) Reorder the terms: -8 + 6x = 2(-5 + 4x) -8 + 6x = (-5 * 2 + 4x * 2) -8 + 6x = (-10 + 8x) Solving -8 + 6x = -10 + 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. -8 + 6x + -8x = -10 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = -10 + 0 -8 + -2x = -10 Add '8' to each side of the equation. -8 + 8 + -2x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -10 + 8 -2x = -10 + 8 Combine like terms: -10 + 8 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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