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Simplifying 2(5x + -4) + -10 = x + 3(2x + -5) Reorder the terms: 2(-4 + 5x) + -10 = x + 3(2x + -5) (-4 * 2 + 5x * 2) + -10 = x + 3(2x + -5) (-8 + 10x) + -10 = x + 3(2x + -5) Reorder the terms: -8 + -10 + 10x = x + 3(2x + -5) Combine like terms: -8 + -10 = -18 -18 + 10x = x + 3(2x + -5) Reorder the terms: -18 + 10x = x + 3(-5 + 2x) -18 + 10x = x + (-5 * 3 + 2x * 3) -18 + 10x = x + (-15 + 6x) Reorder the terms: -18 + 10x = -15 + x + 6x Combine like terms: x + 6x = 7x -18 + 10x = -15 + 7x Solving -18 + 10x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 10x + -7x = -15 + 7x + -7x Combine like terms: 10x + -7x = 3x -18 + 3x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 3x = -15 + 0 -18 + 3x = -15 Add '18' to each side of the equation. -18 + 18 + 3x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -15 + 18 3x = -15 + 18 Combine like terms: -15 + 18 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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