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Simplifying 6(x + -7) = 15(2x + -4) Reorder the terms: 6(-7 + x) = 15(2x + -4) (-7 * 6 + x * 6) = 15(2x + -4) (-42 + 6x) = 15(2x + -4) Reorder the terms: -42 + 6x = 15(-4 + 2x) -42 + 6x = (-4 * 15 + 2x * 15) -42 + 6x = (-60 + 30x) Solving -42 + 6x = -60 + 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. -42 + 6x + -30x = -60 + 30x + -30x Combine like terms: 6x + -30x = -24x -42 + -24x = -60 + 30x + -30x Combine like terms: 30x + -30x = 0 -42 + -24x = -60 + 0 -42 + -24x = -60 Add '42' to each side of the equation. -42 + 42 + -24x = -60 + 42 Combine like terms: -42 + 42 = 0 0 + -24x = -60 + 42 -24x = -60 + 42 Combine like terms: -60 + 42 = -18 -24x = -18 Divide each side by '-24'. x = 0.75 Simplifying x = 0.75
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