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Simplifying 4(x + -3) = 6(x + 5) Reorder the terms: 4(-3 + x) = 6(x + 5) (-3 * 4 + x * 4) = 6(x + 5) (-12 + 4x) = 6(x + 5) Reorder the terms: -12 + 4x = 6(5 + x) -12 + 4x = (5 * 6 + x * 6) -12 + 4x = (30 + 6x) Solving -12 + 4x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 4x + -6x = 30 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 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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