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Simplifying 6(x + -3) + 10x = 2(4x + -5) Reorder the terms: 6(-3 + x) + 10x = 2(4x + -5) (-3 * 6 + x * 6) + 10x = 2(4x + -5) (-18 + 6x) + 10x = 2(4x + -5) Combine like terms: 6x + 10x = 16x -18 + 16x = 2(4x + -5) Reorder the terms: -18 + 16x = 2(-5 + 4x) -18 + 16x = (-5 * 2 + 4x * 2) -18 + 16x = (-10 + 8x) Solving -18 + 16x = -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. -18 + 16x + -8x = -10 + 8x + -8x Combine like terms: 16x + -8x = 8x -18 + 8x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 8x = -10 + 0 -18 + 8x = -10 Add '18' to each side of the equation. -18 + 18 + 8x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -10 + 18 8x = -10 + 18 Combine like terms: -10 + 18 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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