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Simplifying 5(8x + -3) = 4x + -3(x + 1) Reorder the terms: 5(-3 + 8x) = 4x + -3(x + 1) (-3 * 5 + 8x * 5) = 4x + -3(x + 1) (-15 + 40x) = 4x + -3(x + 1) Reorder the terms: -15 + 40x = 4x + -3(1 + x) -15 + 40x = 4x + (1 * -3 + x * -3) -15 + 40x = 4x + (-3 + -3x) Reorder the terms: -15 + 40x = -3 + 4x + -3x Combine like terms: 4x + -3x = 1x -15 + 40x = -3 + 1x Solving -15 + 40x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 40x + -1x = -3 + 1x + -1x Combine like terms: 40x + -1x = 39x -15 + 39x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 39x = -3 + 0 -15 + 39x = -3 Add '15' to each side of the equation. -15 + 15 + 39x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 39x = -3 + 15 39x = -3 + 15 Combine like terms: -3 + 15 = 12 39x = 12 Divide each side by '39'. x = 0.3076923077 Simplifying x = 0.3076923077
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