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Simplifying 5(4x + -10) + 10x = 4(2x + -3) + 2(x + -4) Reorder the terms: 5(-10 + 4x) + 10x = 4(2x + -3) + 2(x + -4) (-10 * 5 + 4x * 5) + 10x = 4(2x + -3) + 2(x + -4) (-50 + 20x) + 10x = 4(2x + -3) + 2(x + -4) Combine like terms: 20x + 10x = 30x -50 + 30x = 4(2x + -3) + 2(x + -4) Reorder the terms: -50 + 30x = 4(-3 + 2x) + 2(x + -4) -50 + 30x = (-3 * 4 + 2x * 4) + 2(x + -4) -50 + 30x = (-12 + 8x) + 2(x + -4) Reorder the terms: -50 + 30x = -12 + 8x + 2(-4 + x) -50 + 30x = -12 + 8x + (-4 * 2 + x * 2) -50 + 30x = -12 + 8x + (-8 + 2x) Reorder the terms: -50 + 30x = -12 + -8 + 8x + 2x Combine like terms: -12 + -8 = -20 -50 + 30x = -20 + 8x + 2x Combine like terms: 8x + 2x = 10x -50 + 30x = -20 + 10x Solving -50 + 30x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -50 + 30x + -10x = -20 + 10x + -10x Combine like terms: 30x + -10x = 20x -50 + 20x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -50 + 20x = -20 + 0 -50 + 20x = -20 Add '50' to each side of the equation. -50 + 50 + 20x = -20 + 50 Combine like terms: -50 + 50 = 0 0 + 20x = -20 + 50 20x = -20 + 50 Combine like terms: -20 + 50 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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