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Simplifying 5(4x + -10) + 10x = 4(2 + -3) + 2(x + -4) Reorder the terms: 5(-10 + 4x) + 10x = 4(2 + -3) + 2(x + -4) (-10 * 5 + 4x * 5) + 10x = 4(2 + -3) + 2(x + -4) (-50 + 20x) + 10x = 4(2 + -3) + 2(x + -4) Combine like terms: 20x + 10x = 30x -50 + 30x = 4(2 + -3) + 2(x + -4) Combine like terms: 2 + -3 = -1 -50 + 30x = 4(-1) + 2(x + -4) Multiply 4 * -1 -50 + 30x = -4 + 2(x + -4) Reorder the terms: -50 + 30x = -4 + 2(-4 + x) -50 + 30x = -4 + (-4 * 2 + x * 2) -50 + 30x = -4 + (-8 + 2x) Combine like terms: -4 + -8 = -12 -50 + 30x = -12 + 2x Solving -50 + 30x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -50 + 30x + -2x = -12 + 2x + -2x Combine like terms: 30x + -2x = 28x -50 + 28x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + 28x = -12 + 0 -50 + 28x = -12 Add '50' to each side of the equation. -50 + 50 + 28x = -12 + 50 Combine like terms: -50 + 50 = 0 0 + 28x = -12 + 50 28x = -12 + 50 Combine like terms: -12 + 50 = 38 28x = 38 Divide each side by '28'. x = 1.357142857 Simplifying x = 1.357142857
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