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Simplifying 10(x + -3) + 4 = -6(3x + 2) + -15 Reorder the terms: 10(-3 + x) + 4 = -6(3x + 2) + -15 (-3 * 10 + x * 10) + 4 = -6(3x + 2) + -15 (-30 + 10x) + 4 = -6(3x + 2) + -15 Reorder the terms: -30 + 4 + 10x = -6(3x + 2) + -15 Combine like terms: -30 + 4 = -26 -26 + 10x = -6(3x + 2) + -15 Reorder the terms: -26 + 10x = -6(2 + 3x) + -15 -26 + 10x = (2 * -6 + 3x * -6) + -15 -26 + 10x = (-12 + -18x) + -15 Reorder the terms: -26 + 10x = -12 + -15 + -18x Combine like terms: -12 + -15 = -27 -26 + 10x = -27 + -18x Solving -26 + 10x = -27 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -26 + 10x + 18x = -27 + -18x + 18x Combine like terms: 10x + 18x = 28x -26 + 28x = -27 + -18x + 18x Combine like terms: -18x + 18x = 0 -26 + 28x = -27 + 0 -26 + 28x = -27 Add '26' to each side of the equation. -26 + 26 + 28x = -27 + 26 Combine like terms: -26 + 26 = 0 0 + 28x = -27 + 26 28x = -27 + 26 Combine like terms: -27 + 26 = -1 28x = -1 Divide each side by '28'. x = -0.03571428571 Simplifying x = -0.03571428571
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