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Simplifying 3(2x + -8) + -5 = 3(x + -4) * 10 Reorder the terms: 3(-8 + 2x) + -5 = 3(x + -4) * 10 (-8 * 3 + 2x * 3) + -5 = 3(x + -4) * 10 (-24 + 6x) + -5 = 3(x + -4) * 10 Reorder the terms: -24 + -5 + 6x = 3(x + -4) * 10 Combine like terms: -24 + -5 = -29 -29 + 6x = 3(x + -4) * 10 Reorder the terms: -29 + 6x = 3(-4 + x) * 10 Reorder the terms for easier multiplication: -29 + 6x = 3 * 10(-4 + x) Multiply 3 * 10 -29 + 6x = 30(-4 + x) -29 + 6x = (-4 * 30 + x * 30) -29 + 6x = (-120 + 30x) Solving -29 + 6x = -120 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -29 + 6x + -30x = -120 + 30x + -30x Combine like terms: 6x + -30x = -24x -29 + -24x = -120 + 30x + -30x Combine like terms: 30x + -30x = 0 -29 + -24x = -120 + 0 -29 + -24x = -120 Add '29' to each side of the equation. -29 + 29 + -24x = -120 + 29 Combine like terms: -29 + 29 = 0 0 + -24x = -120 + 29 -24x = -120 + 29 Combine like terms: -120 + 29 = -91 -24x = -91 Divide each side by '-24'. x = 3.791666667 Simplifying x = 3.791666667
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