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Simplifying 5x + 7 + -2x = 4x + 9 + -1(-10) Reorder the terms: 7 + 5x + -2x = 4x + 9 + -1(-10) Combine like terms: 5x + -2x = 3x 7 + 3x = 4x + 9 + -1(-10) Multiply -1 * -10 7 + 3x = 4x + 9 + 10 Reorder the terms: 7 + 3x = 9 + 10 + 4x Combine like terms: 9 + 10 = 19 7 + 3x = 19 + 4x Solving 7 + 3x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 3x + -4x = 19 + 4x + -4x Combine like terms: 3x + -4x = -1x 7 + -1x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -1x = 19 + 0 7 + -1x = 19 Add '-7' to each side of the equation. 7 + -7 + -1x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 19 + -7 -1x = 19 + -7 Combine like terms: 19 + -7 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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