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Simplifying 5x + 12 + -2x + 7 = -4(x + -10) + x + 15 Reorder the terms: 12 + 7 + 5x + -2x = -4(x + -10) + x + 15 Combine like terms: 12 + 7 = 19 19 + 5x + -2x = -4(x + -10) + x + 15 Combine like terms: 5x + -2x = 3x 19 + 3x = -4(x + -10) + x + 15 Reorder the terms: 19 + 3x = -4(-10 + x) + x + 15 19 + 3x = (-10 * -4 + x * -4) + x + 15 19 + 3x = (40 + -4x) + x + 15 Reorder the terms: 19 + 3x = 40 + 15 + -4x + x Combine like terms: 40 + 15 = 55 19 + 3x = 55 + -4x + x Combine like terms: -4x + x = -3x 19 + 3x = 55 + -3x Solving 19 + 3x = 55 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 19 + 3x + 3x = 55 + -3x + 3x Combine like terms: 3x + 3x = 6x 19 + 6x = 55 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + 6x = 55 + 0 19 + 6x = 55 Add '-19' to each side of the equation. 19 + -19 + 6x = 55 + -19 Combine like terms: 19 + -19 = 0 0 + 6x = 55 + -19 6x = 55 + -19 Combine like terms: 55 + -19 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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