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Simplifying 10(x + -3) = 12(x + x + -3) + -7 Reorder the terms: 10(-3 + x) = 12(x + x + -3) + -7 (-3 * 10 + x * 10) = 12(x + x + -3) + -7 (-30 + 10x) = 12(x + x + -3) + -7 Reorder the terms: -30 + 10x = 12(-3 + x + x) + -7 Combine like terms: x + x = 2x -30 + 10x = 12(-3 + 2x) + -7 -30 + 10x = (-3 * 12 + 2x * 12) + -7 -30 + 10x = (-36 + 24x) + -7 Reorder the terms: -30 + 10x = -36 + -7 + 24x Combine like terms: -36 + -7 = -43 -30 + 10x = -43 + 24x Solving -30 + 10x = -43 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -30 + 10x + -24x = -43 + 24x + -24x Combine like terms: 10x + -24x = -14x -30 + -14x = -43 + 24x + -24x Combine like terms: 24x + -24x = 0 -30 + -14x = -43 + 0 -30 + -14x = -43 Add '30' to each side of the equation. -30 + 30 + -14x = -43 + 30 Combine like terms: -30 + 30 = 0 0 + -14x = -43 + 30 -14x = -43 + 30 Combine like terms: -43 + 30 = -13 -14x = -13 Divide each side by '-14'. x = 0.9285714286 Simplifying x = 0.9285714286
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