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Simplifying 5x + 4(x + -12) = 6x + -15 Reorder the terms: 5x + 4(-12 + x) = 6x + -15 5x + (-12 * 4 + x * 4) = 6x + -15 5x + (-48 + 4x) = 6x + -15 Reorder the terms: -48 + 5x + 4x = 6x + -15 Combine like terms: 5x + 4x = 9x -48 + 9x = 6x + -15 Reorder the terms: -48 + 9x = -15 + 6x Solving -48 + 9x = -15 + 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. -48 + 9x + -6x = -15 + 6x + -6x Combine like terms: 9x + -6x = 3x -48 + 3x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 3x = -15 + 0 -48 + 3x = -15 Add '48' to each side of the equation. -48 + 48 + 3x = -15 + 48 Combine like terms: -48 + 48 = 0 0 + 3x = -15 + 48 3x = -15 + 48 Combine like terms: -15 + 48 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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