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Simplifying 4(2x + -3) = 10(x + 3) Reorder the terms: 4(-3 + 2x) = 10(x + 3) (-3 * 4 + 2x * 4) = 10(x + 3) (-12 + 8x) = 10(x + 3) Reorder the terms: -12 + 8x = 10(3 + x) -12 + 8x = (3 * 10 + x * 10) -12 + 8x = (30 + 10x) Solving -12 + 8x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 8x + -10x = 30 + 10x + -10x Combine like terms: 8x + -10x = -2x -12 + -2x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -2x = 30 + 0 -12 + -2x = 30 Add '12' to each side of the equation. -12 + 12 + -2x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 30 + 12 -2x = 30 + 12 Combine like terms: 30 + 12 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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