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Simplifying 9(x + -4) + 12 + -6(3 + x) + -10x = 63 Reorder the terms: 9(-4 + x) + 12 + -6(3 + x) + -10x = 63 (-4 * 9 + x * 9) + 12 + -6(3 + x) + -10x = 63 (-36 + 9x) + 12 + -6(3 + x) + -10x = 63 -36 + 9x + 12 + (3 * -6 + x * -6) + -10x = 63 -36 + 9x + 12 + (-18 + -6x) + -10x = 63 Reorder the terms: -36 + 12 + -18 + 9x + -6x + -10x = 63 Combine like terms: -36 + 12 = -24 -24 + -18 + 9x + -6x + -10x = 63 Combine like terms: -24 + -18 = -42 -42 + 9x + -6x + -10x = 63 Combine like terms: 9x + -6x = 3x -42 + 3x + -10x = 63 Combine like terms: 3x + -10x = -7x -42 + -7x = 63 Solving -42 + -7x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -7x = 63 + 42 Combine like terms: -42 + 42 = 0 0 + -7x = 63 + 42 -7x = 63 + 42 Combine like terms: 63 + 42 = 105 -7x = 105 Divide each side by '-7'. x = -15 Simplifying x = -15
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